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Finding the Third Proportional to 61,781.06 and 135,590.63

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Solution

The third proportional to 61,781.06 and 135,590.63 is: 297,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,781.06 : 135,590.63 = 135,590.63 : x
  2. Step 2: Convert to fraction form
    61,781.06/135,590.63 = 135,590.63/x
  3. Step 3: Cross multiply
    61,781.06x = 135,590.63 × 135,590.63
  4. Step 4: Simplify right side
    61,781.06x = 18,384,817,587.89
  5. Step 5: Solve for x
    x = 18,384,817,587.89/61,781.06
  6. Step 6: Final answer
    x = 297,580.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.